Faculty Publications
On The Monotonicity Of The Quotient Of Certain Abelian Integrals
Document Type
Article
Keywords
Abelian integrals, elliptic surfaces, monotonicity, Picard-Fuchs equation, Riccati equation
Journal/Book/Conference Title
International Journal of Mathematics and Mathematical Sciences
Volume
16
Issue
1
First Page
41
Last Page
48
Abstract
We prove that the quotient of abelian integrals associated to an elliptic surface is bounded and strictly increasing by first determining the Picard-Fuchs equation satisfied by the abelian integrals and the Riccati equation satisfied by the quotient of the abelian integrals. © 1993, Hindawi Publishing Corporation. All rights reserved.
Department
Department of Mathematics
Original Publication Date
1-1-1993
DOI of published version
10.1155/S0161171293000043
Recommended Citation
Ho Lee, Min, "On The Monotonicity Of The Quotient Of Certain Abelian Integrals" (1993). Faculty Publications. 4433.
https://scholarworks.uni.edu/facpub/4433
